L
Lightning
12.4V is around 60%, which they recommend staying above for long life. Any lower will of course work fine but with progressively reducing cycle life. The more you keep the discharge above 60% AND / OR re-charge as soon as possible, the better life expectancy. Sulfation occurs when the cells discharge at ANY point below full charge, minor & reversible when above 12.4V, while below 12.4V then permanent sulfation occurs, getting progressively worse with lower voltage and longer time.
That's life for all lead acid cells...
edit - just found this interesting article on load testing... https://www.jefftk.com/p/load-testing-a-battery
and this youtube vid -
Alisons problem will be proving the good condition of the batteries prior to the dealerships 'intervention' and the fact that batteries are a wear and tear item, so the original 80Ah capacity will have inevitably dropped during normal good use over the years...
edit 2 - thinking of the dealers logic(!), the aux heater may well operate at 7.7V, but that is the heaters specs voltage range minimum, nothing to do with the vans 12V system.
The low voltage cut out mentioned in the video looks like it might be a good investment.